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Finding the Fourth Proportional to 17,382.04, 26,076.90 and 8,143

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Solution

The fourth proportional to 17,382.04, 26,076.90 and 8,143 is: 12,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.04 : 26,076.90 = 8,143 : x
  2. Step 2: Convert to fraction form
    17,382.04/26,076.90 = 8,143/x
  3. Step 3: Cross multiply
    17,382.04x = 26,076.90 × 8,143
  4. Step 4: Simplify right side
    17,382.04x = 212,344,196.70
  5. Step 5: Solve for x
    x = 212,344,196.70/17,382.04
  6. Step 6: Final answer
    x = 12,216.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.